Home / 656-822

Finding the Third Proportional to 656 and 822

Calculator

Solution

The third proportional to 656 and 822 is: 1,030.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    656 : 822 = 822 : x
  2. Step 2: Convert to fraction form
    656/822 = 822/x
  3. Step 3: Cross multiply
    656x = 822 × 822
  4. Step 4: Simplify right side
    656x = 675,684
  5. Step 5: Solve for x
    x = 675,684/656
  6. Step 6: Final answer
    x = 1,030.01

Related Problems

Find third proportional to 328 and 411
Half scale
Find third proportional to 1,312 and 1,644
Double scale
Find third proportional to 658 and 825
Similar ratio
Find third proportional to 984 and 1,233
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.